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On Ruled Surfaces In Three Dimensional Minkowski Space


On Ruled Surfaces In Three Dimensional Minkowski Space
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On Ruled Surfaces In Three Dimensional Minkowski Space


On Ruled Surfaces In Three Dimensional Minkowski Space
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Author : Emad Shonoda
language : en
Publisher: LAP Lambert Academic Publishing
Release Date : 2011-12

On Ruled Surfaces In Three Dimensional Minkowski Space written by Emad Shonoda and has been published by LAP Lambert Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12 with categories.


In a Minkowski three dimensional space we define a semi-inner-product based on the so-called cosine-Minkowski function. We also construct an orthogonal 3D frame in Birkhoff sense, which is canonically adapted to ruled surfaces: beginning with the generator direction we complete this frame using the strictly convex and centrally symmetric unit ball B, which is described either by supporting function or vector representation. Based on the left-orthogonality defined by ball B, the striction curve of a ruled surface in a Minkowski 3-space can be declared in analogy to the Euclidean case. We define the new vector called "Deformation vector" which helps us to find the Frenet-Serret formulae of the ruled surface in the Minkowski three dimension spaces. In these formulae we insert the M-curvatures and M-Torsions with respect to the Minkowski frame. We also can define a covariant differentiation in a Minkowski 3-space, with this can declare geometric M-parallelity of the vector field of the generator of a skew ruled surface along its Minkowski striction curve. Using the second fundamental form the relation between Euclidean and Minkowski normal vectors is given.



International Journal Of Mathematical Combinatorics Volume 2 2014


International Journal Of Mathematical Combinatorics Volume 2 2014
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Author : Linfan Mao
language : en
Publisher: Infinite Study
Release Date :

International Journal Of Mathematical Combinatorics Volume 2 2014 written by Linfan Mao and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


The International J. Mathematical Combinatorics is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly, which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandache multi-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences.



Mathematical Combinatorics Vol Ii 2014


Mathematical Combinatorics Vol Ii 2014
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Author : Linfan Mao
language : en
Publisher: Infinite Study
Release Date :

Mathematical Combinatorics Vol Ii 2014 written by Linfan Mao and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


Papers on Ruled Surfaces in Minkowski 3-Space, Enumeration of k-Fibonacci Paths Using Infinite Weighted Automata, The Natural Lift Curves and Geodesic Curvatures of the Spherical Indicatrices of The Spacelike-Timelike Bertrand Curve Pair, Magic Properties of Special Class of Trees, and other topics. Contributors: V. Ramachandran, C. Sekar, Rodrigo De Castro, Jose L. Ramirez, Nagesh.H.M, R. Chandrasekhar, A. Vijayalekshmi, S. Suganthi, V. Swaminathan, Arunesh Pandey, V.K. Chaubey, T.N. Pandey, and others.



On Geometry Of Equiform Smarandache Ruled Surfaces Via Equiform Frame In Minkowski 3 Space


On Geometry Of Equiform Smarandache Ruled Surfaces Via Equiform Frame In Minkowski 3 Space
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Author : Emad Solouma
language : en
Publisher: Infinite Study
Release Date : 2023-01-01

On Geometry Of Equiform Smarandache Ruled Surfaces Via Equiform Frame In Minkowski 3 Space written by Emad Solouma and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Mathematics categories.


In this paper, some geometric properties of equiform Smarandache ruled surfaces in Minkowski space E13 using an equiform frame are investigated. Also, we give the sufficient conditions that make these surfaces are equiform developable and equiform minimal related to the equiform curvatures and when the equiform base curve contained in a plane or general helix. Finally, we provide an example, such as these surfaces.



Geometry And Topology Of Submanifolds Iii Proceedings Of The Leeds Differential Geometry Workshop 1990


Geometry And Topology Of Submanifolds Iii Proceedings Of The Leeds Differential Geometry Workshop 1990
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Author : Alan West
language : en
Publisher: World Scientific
Release Date : 1991-04-22

Geometry And Topology Of Submanifolds Iii Proceedings Of The Leeds Differential Geometry Workshop 1990 written by Alan West and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-04-22 with categories.


This workshop collected together works by experts working in various aspects of the differential geometry of submanifold and discussed recent advances and unsolved problems. Two important linking lectures were on the work done by Thorbergsson and others on classifying isoparametric submanifolds of Euclidean spaces and the generalisation of these to Hilbert spaces due to Terng and others. Isoparametric submanifolds provides examples of minimal, taut submanifolds, of harmonic maps and submanifolds with parallel second fundamental form-all topics discussed at this workshop. There were also lectures on the rapidly developing topic of the affine geometry of hypersurfaces and on applications. Amomg the applications discussed are new methods for using PDE's for generating surfaces with special shapes for use in engineering design.



Geometry And Topology Of Submanifolds Viii


Geometry And Topology Of Submanifolds Viii
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Author : Ignace Van De Woestyne
language : en
Publisher: World Scientific
Release Date : 1996-10-25

Geometry And Topology Of Submanifolds Viii written by Ignace Van De Woestyne and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-10-25 with categories.


This proceedings consists of papers presented at the international meeting of Differential Geometry and Computer Vision held in Norway and of international meetings on Pure and Applied Differential Geometry held in Belgium. This volume is dedicated to Prof Dr Tom Willmore for his contribution to the development of the domain of differential geometry. Furthermore, it contains a survey on recent developments on affine differential geometry, including a list of publications and a problem list.



Geometry And Topology Of Submanifolds Ix


Geometry And Topology Of Submanifolds Ix
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Author : Leopold Verstraelen
language : en
Publisher: World Scientific
Release Date : 1999-07-22

Geometry And Topology Of Submanifolds Ix written by Leopold Verstraelen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-07-22 with Mathematics categories.


Contents:Affine Bibliography 1998 (T Binder et al.)Contact Metric R-Harmonic Manifolds (K Arslan & C Murathan)Local Classification of Centroaffine Tchebychev Surfaces with Constant Curvature Metric (T Binder)Hypersurfaces in Space Forms with Some Constant Curvature Functions (F Brito et al.)Some Relations Between a Submanifold and Its Focal Set (S Carter & A West)On Manifolds of Pseudosymmetric Type (F Defever et al.)Hypersurfaces with Pseudosymmetric Weyl Tensor in Conformally Flat Manifolds (R Deszcz et al.)Least-Squares Geometrical Fitting and Minimising Functions on Submanifolds (F Dillen et al.)Cubic Forms Generated by Functions on Projectively Flat Spaces (J Leder)Distinguished Submanifolds of a Sasakian Manifold (I Mihai)On the Curvature of Left Invariant Locally Conformally Para-Kählerian Metrics (Z Olszak)Remarks on Affine Variations on the Ellipsoid (M Wiehe)Dirac's Equation, Schrödinger's Equation and the Geometry of Surfaces (T J Willmore)and other papers Readership: Researchers doing differential geometry and topology. Keywords:Proceedings;Geometry;Topology;Valenciennes (France);Lyon (France);Leuven (Belgium);Dedication



Geometry And Topology Of Submanifolds Vii Differential Geometry In Honour Of Prof Katsumi Nomizu


Geometry And Topology Of Submanifolds Vii Differential Geometry In Honour Of Prof Katsumi Nomizu
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Author : Franki Dillen
language : en
Publisher: World Scientific
Release Date : 1995-05-09

Geometry And Topology Of Submanifolds Vii Differential Geometry In Honour Of Prof Katsumi Nomizu written by Franki Dillen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-05-09 with categories.


This volume on pure and applied differential geometry, includes topics on submanifold theory, affine differential geometry and applications of geometry in engineering sciences. The conference was dedicated to the 70th birthday of Prof Katsumi Nomizu. Papers on the scientific work and life of Katsumi Nomizu are also included.



Icgg 2018 Proceedings Of The 18th International Conference On Geometry And Graphics


Icgg 2018 Proceedings Of The 18th International Conference On Geometry And Graphics
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Author : Luigi Cocchiarella
language : en
Publisher: Springer
Release Date : 2018-07-06

Icgg 2018 Proceedings Of The 18th International Conference On Geometry And Graphics written by Luigi Cocchiarella and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-06 with Technology & Engineering categories.


This book gathers peer-reviewed papers presented at the 18th International Conference on Geometry and Graphics (ICGG), held in Milan, Italy, on August 3-7, 2018. The spectrum of papers ranges from theoretical research to applications, including education, in several fields of science, technology and the arts. The ICGG 2018 mainly focused on the following topics and subtopics: Theoretical Graphics and Geometry (Geometry of Curves and Surfaces, Kinematic and Descriptive Geometry, Computer Aided Geometric Design), Applied Geometry and Graphics (Modeling of Objects, Phenomena and Processes, Applications of Geometry in Engineering, Art and Architecture, Computer Animation and Games, Graphic Simulation in Urban and Territorial Studies), Engineering Computer Graphics (Computer Aided Design and Drafting, Computational Geometry, Geometric and Solid Modeling, Image Synthesis, Pattern Recognition, Digital Image Processing) and Graphics Education (Education Technology Research, Multimedia Educational Software Development, E-learning, Virtual Reality, Educational Systems, Educational Software Development Tools, MOOCs). Given its breadth of coverage, the book introduces engineers, architects and designers interested in computer applications, graphics and geometry to the latest advances in the field, with a particular focus on science, the arts and mathematics education.



Pointwise 1 Type Gauss Map Os Developable Smarandache Rules Surfaces


Pointwise 1 Type Gauss Map Os Developable Smarandache Rules Surfaces
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Author : Stuti Tamta
language : en
Publisher: Infinite Study
Release Date : 2023-01-01

Pointwise 1 Type Gauss Map Os Developable Smarandache Rules Surfaces written by Stuti Tamta and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Mathematics categories.


In this paper, we study the developable TN, TB, and NB-Smarandache ruled surface with a pointwise 1-type Gauss map. In particular, we obtain that every developable TN-Smarandache ruled surface has constant mean curvature, and every developable TB-Smarandache ruled surface is minimal if and only if the curve is a place curve with non-zero curvature or a helix, and every developable NB-Smarandache ruled surface is always plane. We also provide some examples.